Mt Whitney Zone Forums General Discussion Microspikes?

Maybe. It depends in how much snow and ice are still there (which we can't predict in April), your skill level (which you didn't tell us), and the time of day you'll be on the snow (which we also don't know).

An experienced climber going up and back in the middle of a warm day with stiff mountaineering boots can probably sneak by without crampons, spikes, or an axe. A newbie starting really early and/or finishing after the slush turns to ice in the afternoon probably needs an axe and real crampons.

The snow and ice conditions vary a lot from year to year and from hour to hour. If enough snow melts, you may just need trail runners. If the snow stays around and ices up, you may need crampons, climbing boots, and an axe.